Basic Concepts of Quantum Mechanics
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Preface Prelude: Can the System of Classical Physics Concepts Be Considered Logically Perfect? Physics of the Microparticles Certain Characteristics and Properties of Microparticles Two Fundamental Ideas of Quantum Mechanics Uncertainty Relations Some Results Ensuing from the Uncertainty Relations Impossibility of Classical Representation of a Microparticle Rejection of Ideas of Classical Physics Interlude: Is a ``Physically Intuitive'' Model of a Microparticle Possible? Physical Foundations of Quantum Mechanics Some Basic Experiments Amplitudes of Transition Probabilities (Formulation of Basic Principles) Amplitudes of Transition Probabilities (Demonstration of Basic Principles) Superposition of States Measurement in Quantum Mechanics Interlude: Are These the Same Waves?, Or, Again on Waves in Quantum Mechanics Causality in Quantum Mechanics Microparticles with Two Basic States The Electron in a Magnetic Field The Wave Function Quantum Mechanics as a Qualitative Leap in Man's Knowledge of the Laws of Nature A Brief Interlude Interlude: Do Quantum-Mechanical Concepts Contradict Our Common Sense? Linear Operators in Quantum Mechanics A Brief Look at the Theory of Linear Operators From Hamiltonian Matrix to Energy Operator Linear Operators in Quantum Mechanics The Quantum-Mechanical Apparatus in Coordinate Representation Applications of the Schrödinger Equation The Hamiltonian in Some Specific Problems Transition to the Momentum Representation An Electron in a Periodic Field The Probability of Quantum Transitions Ways of Describing Evolution of Microsystems with Time A Brief Historical Survey Appendices Eigenvalues and Eigenfunctions of a Hermitian Operator Transition from Quantum Mechanics to Classical Mechanics Commutation Relations Commutation of Operators 2, Some Special Functions Linear Harmonic Oscillator Subject Index Bibliography
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